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Finding the Fourth Proportional to 2,513.44, 3,770.12 and 1,032.36

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Solution

The fourth proportional to 2,513.44, 3,770.12 and 1,032.36 is: 1,548.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.44 : 3,770.12 = 1,032.36 : x
  2. Step 2: Convert to fraction form
    2,513.44/3,770.12 = 1,032.36/x
  3. Step 3: Cross multiply
    2,513.44x = 3,770.12 × 1,032.36
  4. Step 4: Simplify right side
    2,513.44x = 3,892,121.08
  5. Step 5: Solve for x
    x = 3,892,121.08/2,513.44
  6. Step 6: Final answer
    x = 1,548.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.